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LCM of 230, 23, 237

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 230, 23, 237 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 230, 23, 237. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,23,237

Given numbers are 230,23,237

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 230,23,237 is 54510.

Find LCM of 230,23,237 with Prime Factorization


23 230, 23, 237
10, 1, 237

Multiply the prime numbers at the bottom and the left side.

23 x 10 x 1 x 237 = 54510

Therefore, the lowest common multiple of 230,23,237 is 54510.

LCM Formula to Find Lowest Common Multiple of 230,23,237

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

230 x 23 x 237 = 1253730

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

230 : 1, 2, 5, 10, 23, 46, 115, 230

23 : 1, 23

237 : 1, 3, 79, 237

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,23,237, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

23:23

237:3x 79

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

23 = 23

Therefore, the value for common factors is 23.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 1253730/(1x23)

LCM = 1253730/23

LCM = 54510

Thus, we can understand that the LCM of 230,23,237 is 54510.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 230, 23, 237

1. What is the LCM of 230, 23, 237?

Answer: LCM of 230, 23, 237 is 54510.

2. How to calculate the LCM of 230, 23, 237?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 230, 23, 237.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.